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3 years ago

At Jaxlyn’s Garage, 200 cars were inspected and worked on. There were 92 cars that

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

6 0

Answer:

A) 0.26

B) 0.42

Step-by-step explanation:

No. of cars which needed both:

92 + 136 - (200 - 24)

P(both) = 52/200 = 0.26

No. of cars that need an alternator, but not new brakes:

136 - 52

P = 84/200 = 0.42

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Question

Kay [80]

Answer:

$f(x)=2(x-2)(x^2+64)$

Step-by-step explanation:

A standard polynomial in factored form is given by:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

$f(x)=a(x-(2))(x-(-8i))(x-(8i))$

Simplify:

$f(x)=a(x-2)(x+8i)(x-8i)$

Expand the second and third factors:

$=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64$

Hence, our function is now:

$f(x)=a(x-2)(x^2+64)$

It equals 320 when x = 4. Therefore:

$320=a(4-2)(4^2+64)$

Solve for a. Evaluate:

$320=(2)(80)a$

So:

$320=160a\Rightarrow a=2$

Our third-degree polynomial equation is:

$f(x)=2(x-2)(x^2+64)$

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3 years ago

Please help!! ( you use substitution)

Dvinal [7]

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So, essentially you will have 2 linear equations side by side each other.

8/5x - 1 = -4/3x - 1

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The solution eventually equals 0.

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4 years ago

Layla wants to build a wooden box with a volume of 450 cubic centimeters. She started with a width of 10cm and a height of 3cm.

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Answer:

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Step-by-step explanation:

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3 years ago

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slavikrds [6]

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4 years ago

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The fourth term of an=(1/2)^n is

wariber [46]

Answer:

$1/16$